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Finding the Fourth Proportional to 27,833.46, 41,760.45 and 13,047.18

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Solution

The fourth proportional to 27,833.46, 41,760.45 and 13,047.18 is: 19,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.46 : 41,760.45 = 13,047.18 : x
  2. Step 2: Convert to fraction form
    27,833.46/41,760.45 = 13,047.18/x
  3. Step 3: Cross multiply
    27,833.46x = 41,760.45 × 13,047.18
  4. Step 4: Simplify right side
    27,833.46x = 544,856,108.03
  5. Step 5: Solve for x
    x = 544,856,108.03/27,833.46
  6. Step 6: Final answer
    x = 19,575.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.